The Problem of Identification by the Final Observation for the Multidimensional Nonlinear Stationary Equation of Quasi-optics with a Purely Imaginary Coefficient in the Nonlinear Part

摘要

The problem of determining the complex-valued coefficient of a multidimensional nonlinear stationary equation of quasi-optics with the purely imaginary coefficient in the nonlinear part of the equation is considered. The theorems of existence and uniqueness of solution of the identification problem are proved. The necessary condition in the form of a variational inequality for solution of identification problem is established.